1.Consider the following discrete probability distribution:X-1.302.15.

1.Consider the following discrete probability distribution:X-1.302.15.

1.Consider the following discrete probability distribution:X-1.302.15.46.2P(X)0.190.180.150.240.24a) What is P(X=0)? b) What is P(X=0?X<5)?Round your answer to at least 3 decimal places.2. Identify each of the following statements as either TRUE or FALSE.a) (Click for List) False True In a binomial distribution, the random variable X is a count of the number of successes.b) (Click for List) True False If the probability of success is greater than zero, then the mean of a binomial random variable is greater than the variance.c) (Click for List) False True The largest value a binomial random variable can be is n + 1.d) (Click for List) False True In a binomial distribution, each trial can have one of two possible outcomes.e) (Click for List) True False There are two parameters in a binomial distribution.3. Consider the following discrete probability distribution:X-0.76-0.0150.711.0P(X)0.10.40.30.2a) What is E[X]?Round your answer to at least 3 decimal places. b) What is Var[X]?Round your answer to at least 3 decimal places.4. Identify each of the following statements as either TRUE or FALSE.a) (Click for List) True False In a geometric distribution, if the first success occurs on the Xth trial, then on the first X - 1 trials there must have been only a small number of successes.b) (Click for List) True False If X is a geometric random variable, then the smallest value X can take on is 0.c) (Click for List) True False The mean of X, a geometric random variable, is 1/p, where p is the probability of success on a single trial.d) (Click for List) False True If the probability of success in a geometric distribution is greater than 0.5, then the variance is greater than the mean.e) (Click for List) False True The geometric distribution is dependent upon two parameters.5. Let X be a discrete random variable that follows a binomial distribution with n = 11 and probability of success p = 0.71.What is P(X>7?X?9)?Round your response to at least 3 decimal places.6. According to the Statistics Canada website, the unemployment rate in Canada is approximately 8.0 % of the eligible workforce. If 25 members of the eligible workforce are randomly selected, what is the probability that exactly 4 of them are unemployed? Round your response to 3 decimal places.